A Z-Domain Controller Design Method for Sampled-Data Systems Having Feedback Dynamics

1982 ◽  
Author(s):  
M. R. Johnson
Keyword(s):  
Controller Design ◽  
Design Method ◽  
Data Systems ◽  
Sampled Data ◽  
Z Domain

scholarly journals Periodic Switched Control of Dual-Rate Sampled-Data Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-16
Author(s):  
Dawei Zhang ◽  
Wei Bai ◽  
Xinchun Jia
Keyword(s):  
Design Method ◽  
Switched System ◽  
Data Systems ◽  
State Variables ◽  
Sampled Data ◽  
Data Control ◽  
Switched Control ◽  
Rate Design ◽  
Input Delays ◽  
Delay Dependent

This paper is concerned with the periodic switched control of a linear dual-rate sampled-data system. The state variables of the continuous-time plant are sampled by two types of sensors. The ratio of two sampling rates is assumed to be a rational number. Depending on whether the sampled-data of state variables at two sampling rates is available simultaneously or separately, a periodic switched controller is constructed. Applying an input delay approach, the closed-loop system is modeled as a switched system with subsystems having different input delays. Some delay-dependent criteria for theH∞performance of the switched system and the existence of the switched controller are derived by employing a Lyapunov-Krasovskii functional that includes information about two sampling periods. The dual-rate sampled-data control of a vehicle dynamic system is given to show that the proposed method is effective and it can achieve a betterH∞control performance than the single-rate design method.

scholarly journals H∞Controller Design for Asynchronous Multirate Sampled-Data Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Xiaoqiang Sun ◽  
Weijie Mao
Keyword(s):  
Closed System ◽  
Controller Design ◽  
Matrix Inequality ◽  
Data Systems ◽  
Sampled Data ◽  
Signal Rate ◽  
Attenuation Level ◽  
Causal Constraint ◽  
Analysis And Synthesis ◽  
The Stability

This paper considers the analysis and synthesis of a linear discrete asynchronous multirate sampled-data system. AnH∞controller based on an observer is proposed, which guarantees the stability of the closed system and makes theH∞norm of the closed system less than a given attenuation level. To improve the performance further, a tradeoff strategy is applied. That is, the exogenous signals sampled at different rates are lifted to an appropriate signal rate, while the endogenous signals are not lifted for avoiding the causal constraint and the dimension multiplied again. The controller is obtained by solving the corresponding matrix inequality, which can be calculated by Matlab. Finally, an example is presented to demonstrate the validity of these methods.

Two-Degree-of-Freedom Optimal Preview Tracking Control: A Mechatronic Design Example

2002 ◽  
Vol 124 (4) ◽  
pp. 704-709 ◽  
Author(s):  
Jin-Hua She ◽  
Xin Xin ◽  
Yasuhiro Ohyama
Keyword(s):  
Tracking Control ◽  
Controller Design ◽  
Design Method ◽  
Feedback Controller ◽  
Degree Of Freedom ◽  
Linear Matrix ◽  
Sampled Data ◽  
Feedforward Controller ◽  
Two Degree Of Freedom ◽  
Digital Tracking

A design method for digital tracking control is described and applied to control an arm robot with structured uncertainties. A two-degree-of-freedom control system configuration provides the desired feedback and input-output performances independently. Regarding controller design, first, sampled-data H∞ control and linear matrix inequality approaches are used to design a reduced-order output feedback controller. Then, the feedforward controller is parameterized based on the feedback controller, with the free parameter being chosen based on a preview strategy.

scholarly journals H∞Controller Design for Asynchronous Hybrid Systems with Multiple Delays

2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Xiaoqiang Sun ◽  
Weijie Mao
Keyword(s):  
Hybrid Systems ◽  
Controller Design ◽  
Linear Matrix ◽  
Multiple Delays ◽  
Data Systems ◽  
Sampled Data ◽  
State Augmentation ◽  
Delay Dependent ◽  
Symplectic Pair ◽  
Delay Dependent Stability

Solutions for theH∞synthesis problems of asynchronous hybrid systems with input-output delays are proposed. The continuous-time lifting approach of sampled-data systems is extended to a hybrid system with multiple delays, and some feasible formulas to calculate the operators of the equivalent discrete-time (DT) system are given. Different from the existing methods derived from symplectic pair theory or by state augmentation, a Lyapunov-Krasovskii functional to solve the synthesis problem is explicitly constructed. The delay-dependent stability conditions we obtained can be described in terms of nonstrict linear matrix inequalities (LMIs), which are much more convenient to be solved by LMI tools.

Digital Control Design Via Convex Optimization

1993 ◽  
Vol 115 (4) ◽  
pp. 579-586 ◽  
Author(s):  
R. E. Avedon ◽  
B. A. Francis
Keyword(s):  
Convex Optimization ◽  
Operator Theory ◽  
Design Method ◽  
Numerical Algorithms ◽  
Optimization Techniques ◽  
Data Systems ◽  
Sampled Data ◽  
Design Heuristics ◽  
Stability Robustness ◽  
Data Design

A design method for sampled-data systems is presented incorporating robust control theory and convex optimization techniques. The technique is developed using operator theory applied to the relevant input-output operators for both performance and stability robustness. Numerical algorithms and an example for the SISO case are presented to explore some traditional sampled-data design heuristics.

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